Factorizable sheaves and quantum groups
By: Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman.
Contributors: Finkelberg, Michael, 1967-; Schechtman, Vadim, 1954-
Series: Lecture notes in mathematics,; 1691; Lecture notes in mathematics (Springer-Verlag) ;; 1691.
Publisher: Springer
Published: 1998
Place of publication: Berlin; New York
Language: eng
Number of pages: 287
Subjects: Quantum groups; Representations of groups; Sheaf theory; Mathematical physics
Description: The book is devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity. These representations are realized as some spaces of vanishing cycles of perverse sheaves over configuration spaces. As an application, the bundles of conformal blocks over the moduli spaces of curves are studied. The book is intended for specialists in group representations and algebraic geometry.
Notes: Includes bibliographical references (p. [252]-253) and indexes.